Gradings of Lie algebras, magical spin geometries and matrix factorizations

DOI10.1090/ert/573zbMath1479.17032arXiv1901.07252OpenAlexW3173409451WikidataQ114094338 ScholiaQ114094338MaRDI QIDQ4999455

Roland Abuaf, Laurent Manivel

Publication date: 6 July 2021

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07252

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Actions of groups on commutative rings; invariant theory (13A50) Clifford algebras, spinors (15A66) Lie algebras of linear algebraic groups (17B45)

Related Items (1)

Graded Lie-Rinehart algebras

Uses Software

• LiE

Cites Work

• Generalized Calabi-Yau manifolds and the mirror of a rigid manifold
• Clifford algebras and matrix factorizations
• Spinors of 13-dimensional space
• Some remarks on nilpotent orbits
• Remark on some combinatorial construction of relative invariants
• Construction of invariants
• Special prehomogeneous vector spaces associated to \(F_{4}\), \(E_{6}\), \(E_{7}\), \(E_{8}\) and simple Jordan algebras of rank 3.
• On the exceptional series, and its descendants
• The Cayley Grassmannian
• Braid group actions on derived categories of coherent sheaves.
• On quartic double fivefolds and the matrix factorizations of exceptional quaternionic representations
• Fano manifolds of Calabi-Yau Hodge type
• MIRROR SYMMETRY AND STRING VACUA FROM A SPECIAL CLASS OF FANO VARIETIES
• Cohomological invariants: exceptional groups and spin groups
• Models of isotropic simple lie algebras
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• Normson structurable algebras
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• The octonions
• Ulrich and aCM bundles from invariant theory
• Moduli of Abelian Varieties, Vinberg θ-Groups, and Free Resolutions
• Double spinor Calabi-Yau varieties
• <em>SL</em>(2) over the octonions
• Covariants of spherical Θ-orbits for types E 6, E 7, E 8
• A Classification of Spinors Up to Dimension Twelve
• The projective geometry of Freudenthal's magic square.
• Determinantal hypersurfaces.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Gradings of Lie algebras, magical spin geometries and matrix factorizations